T-duality in Massive Integrable Field Theories: The Homogeneous and Complex sine-Gordon Models

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dc.creatorMiramontes, J. Luis
dc.date2004-08-16
dc.date.accessioned2026-07-07T11:32:18Z
dc.date.available2026-07-07T11:32:18Z
dc.descriptionThe T-duality symmetries of a family of two-dimensional massive integrable field theories defined in terms of asymmetric gauged Wess-Zumino-Novikov-Witten actions modified by a potential are investigated. These theories are examples of massive non-linear sigma models and, in general, T-duality relates two different dual sigma models perturbed by the same potential. When the unperturbed theory is self-dual, the duality transformation relates two perturbations of the same sigma model involving different potentials. Examples of this type are provided by the Homogeneous sine-Gordon theories, associated with cosets of the form G/U(1)^r where G is a compact simple Lie group of rank r. They exhibit a duality transformation for each element of the Weyl group of G that relates two different phases of the model. On-shell, T-duality provides a map between the solutions to the equations of motion of the dual models that changes Noether soliton charges into topological ones. This map is carefully studied in the complex sine-Gordon model, where it motivates the construction of Bogomol'nyi-like bounds for the energy that provide a novel characterisation of the already known one-solitons solutions where their classical stability becomes explicit.
dc.description29 pages, LaTeX
dc.identifierhttps://arxiv.org/abs/hep-th/0408119
dc.identifierhttp://arxiv.org/abs/hep-th/0408119
dc.identifierNucl.Phys.B702:419-447,2004
dc.identifierdoi:10.1016/j.nuclphysb.2004.10.004
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/197553
dc.subjectHigh Energy Physics - Theory
dc.titleT-duality in Massive Integrable Field Theories: The Homogeneous and Complex sine-Gordon Models
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